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ALPHA I

  • Alpha-i
  • Bangladeshi content platform and production company

    Alpha-i Studios Ltd. is a Bangladeshi film production and distribution company, founded by Shahriar Shakil. Apart from producing and distributing Bengali

    Alpha-i

    Alpha-i

  • Dirichlet distribution
  • Probability distribution

    x_{K};\alpha _{1},\ldots ,\alpha _{K}\right)={\frac {1}{\mathrm {B} ({\boldsymbol {\alpha }})}}\prod _{i=1}^{K}x_{i}^{\alpha _{i}-1}} where x i ∈ [ 0

    Dirichlet distribution

    Dirichlet distribution

    Dirichlet_distribution

  • Generation Alpha
  • Cohort born from 2010s to 2020s

    Generation Alpha, often shortened to Gen Alpha, is the demographic cohort succeeding Generation Z and preceding the proposed Generation Beta. While researchers

    Generation Alpha

    Generation Alpha

    Generation_Alpha

  • BCH code
  • Error correction code

    alpha ^{4}+\alpha ^{-5}x\right)&\alpha ^{-3}+\alpha ^{5}x+\alpha ^{7}x^{2}\\\alpha ^{3}+\alpha ^{-5}x+\alpha ^{6}x^{2}&-\left(\alpha ^{7}x+\alpha ^{5}x^{2}+\alpha

    BCH code

    BCH_code

  • Latent Dirichlet allocation
  • Generative topic model

    \left(\sum _{i=1}^{K}\alpha _{i}\right)}{\prod _{i=1}^{K}\Gamma (\alpha _{i})}}\prod _{i=1}^{K}\theta _{j,i}^{n_{j,(\cdot )}^{i}+\alpha _{i}-1}\,d\theta

    Latent Dirichlet allocation

    Latent_Dirichlet_allocation

  • Cobb–Douglas production function
  • Economic formula of productivity

    p_{i}x_{i}{\frac {(\alpha _{i}+\sum _{j\neq i}^{n}\alpha _{j})}{\alpha _{i}}}=w\Rightarrow p_{i}x_{i}{\frac {1}{\alpha _{i}}}=w} ⇒ x i ∗ = α i w p ii

    Cobb–Douglas production function

    Cobb–Douglas production function

    Cobb–Douglas_production_function

  • Long division
  • Standard division algorithm for multi-digit numbers

    d i = b r i − 1 + α i + l − 1 {\displaystyle d_{i}=br_{i-1}+\alpha _{i+l-1}} r i = d i − m β i = b r i − 1 + α i + l − 1 − m β i {\displaystyle r_{i}=d_{i}-m\beta

    Long division

    Long_division

  • Chevalley basis
  • [H_{i},E_{\alpha }]=\alpha _{i}E_{\alpha }} Defining the dual root or coroot of α {\displaystyle \alpha } as α ∨ = 2 α ( α , α ) {\displaystyle \alpha ^{\vee

    Chevalley basis

    Chevalley_basis

  • Alpha (finance)
  • Risk-adjusted measure of the so-called active return on an investment

    regression. S C L : R i , t − R f = α i + β i ( R M , t − R f ) + ε i , t {\displaystyle \mathrm {SCL} :R_{i,t}-R_{f}=\alpha _{i}+\beta _{i}\,(R_{M,t}-R_{f})+\varepsilon

    Alpha (finance)

    Alpha_(finance)

  • Reed–Solomon error correction
  • Error-correcting codes

    / α i {\displaystyle 1/\alpha _{i}} , o i = i {\displaystyle o_{i}=i} The error value for o i {\displaystyle o_{i}} is e i = ( − α i   ω ( 1 / α i ) )

    Reed–Solomon error correction

    Reed–Solomon_error_correction

  • Intraclass correlation
  • Descriptive statistic

    _{ik})\\&={\text{Cov}}(\alpha _{i}+\epsilon _{ij},\alpha _{i}+\epsilon _{ik})\\&={\text{Cov}}(\alpha _{i},\alpha _{i})+2{\text{Cov}}(\alpha _{i},\epsilon

    Intraclass correlation

    Intraclass correlation

    Intraclass_correlation

  • Lindemann–Weierstrass theorem
  • Theorem in transcendental number theory

    has: | I i ( α k ) | ≤ | α k | e | α k | F i ( | α k | ) , {\displaystyle |I_{i}(\alpha _{k})|\leq {|\alpha _{k}|}e^{|\alpha _{k}|}F_{i}({|\alpha _{k}|})

    Lindemann–Weierstrass theorem

    Lindemann–Weierstrass theorem

    Lindemann–Weierstrass_theorem

  • Smith normal form
  • Matrix normal form

    elements α i {\displaystyle \alpha _{i}} satisfy α i ∣ α i + 1 {\displaystyle \alpha _{i}\mid \alpha _{i+1}} for all 1 ≤ i < r {\displaystyle 1\leq i<r} . This

    Smith normal form

    Smith_normal_form

  • Categorical distribution
  • Discrete probability distribution

    {\boldsymbol {\alpha }})&=\,{\frac {c_{i}^{(-n)}+\alpha _{i}}{N-1+\sum _{i}\alpha _{i}}}&\propto \,c_{i}^{(-n)}+\alpha _{i}\end{aligned}}} where c i ( − n )

    Categorical distribution

    Categorical_distribution

  • Domm (film)
  • 2026 Bangladeshi film

    Mahendra Soni and Redoan Rony under the banner of SVF Entertainment, Alpha-I Studios and Chorki. It marks the first collaboration between Afran Nisho

    Domm (film)

    Domm_(film)

  • Rayleigh quotient
  • Construct for Hermitian matrices

    eigenvectors v i {\displaystyle v_{i}} : x = ∑ i = 1 n α i v i , {\displaystyle x=\sum _{i=1}^{n}\alpha _{i}v_{i},} where α i = x ′ v i v i ′ v i = ⟨ x , v i ⟩ ‖

    Rayleigh quotient

    Rayleigh_quotient

  • Fixed effects model
  • Statistical model

    _{t=1}^{T}u_{it}} . Since α i {\displaystyle \alpha _{i}} is constant, α i ¯ = α i {\displaystyle {\overline {\alpha _{i}}}=\alpha _{i}} and hence the effect

    Fixed effects model

    Fixed_effects_model

  • Limited-memory BFGS
  • Optimization algorithm

    i := ρ i y i ⊤ z i {\displaystyle \beta _{i}:=\rho _{i}y_{i}^{\top }z_{i}} and z i + 1 = z i + ( α i − β i ) s i {\displaystyle z_{i+1}=z_{i}+(\alpha

    Limited-memory BFGS

    Limited-memory_BFGS

  • Convex combination
  • Linear combination of points where all coefficients are non-negative and sum to 1

    {\displaystyle \alpha _{1}x_{1}+\alpha _{2}x_{2}+\cdots +\alpha _{n}x_{n}} where the real numbers α i {\displaystyle \alpha _{i}} satisfy α i ≥ 0 {\displaystyle

    Convex combination

    Convex combination

    Convex_combination

  • Operation Alpha (Indonesia)
  • Covert operation by Indonesian military

    Alpha (Indonesian: Operasi Alpha) (in Israel known as "פולינז" or Polines for Operation Alpha I in 1980 and "מזורקה" or Mazurka for Operation Alpha II

    Operation Alpha (Indonesia)

    Operation Alpha (Indonesia)

    Operation_Alpha_(Indonesia)

  • Conjugate prior
  • Concept in probability theory

    \alpha } and β {\displaystyle \beta } we can compute the posterior hyperparameters α ′ = α + ∑ i x i = 2 + 3 + 4 + 1 = 10 {\textstyle \alpha '=\alpha +\sum

    Conjugate prior

    Conjugate_prior

  • Laguerre polynomials
  • Sequence of differential equation solutions

    L_{n}^{(\alpha ')}(x)=(\alpha '-\alpha ){\alpha '+n \choose \alpha '-\alpha }\int _{0}^{x}{\frac {t^{\alpha }(x-t)^{\alpha '-\alpha -1}}{x^{\alpha '}}}L_{n}^{(\alpha

    Laguerre polynomials

    Laguerre polynomials

    Laguerre_polynomials

  • Chinese remainder theorem
  • About simultaneous modular congruences

    condition ∑ iI α i f i = 0 , {\displaystyle \sum _{i\in I}\alpha _{i}f_{i}=0,} yields ∑ iI α i F i = 0. {\displaystyle \sum _{i\in I}\alpha _{i}F_{i}=0.}

    Chinese remainder theorem

    Chinese remainder theorem

    Chinese_remainder_theorem

  • Denavit–Hartenberg parameters
  • Convention for attaching reference frames to links of a kinematic chain

    i , i + 1 0 0 0 0 1 ] , {\displaystyle [X_{i}]={\begin{bmatrix}1&0&0&r_{i,i+1}\\0&\cos \alpha _{i,i+1}&-\sin \alpha _{i,i+1}&0\\0&\sin \alpha _{i,i+1}&\cos

    Denavit–Hartenberg parameters

    Denavit–Hartenberg parameters

    Denavit–Hartenberg_parameters

  • Affine combination
  • Linear combination whose coefficients sum to 1

    combination ∑ i = 1 n α i ⋅ x i = α 1 x 1 + α 2 x 2 + ⋯ + α n x n , {\displaystyle \sum _{i=1}^{n}{\alpha _{i}\cdot x_{i}}=\alpha _{1}x_{1}+\alpha _{2}x_{2}+\cdots

    Affine combination

    Affine_combination

  • Forward kinematics
  • Computing a robot's end-effector position from joint values and kinematic equations

    {Rot} _{X_{i}}(\alpha _{i,i+1})={\begin{bmatrix}1&0&0&0\\0&\cos \alpha _{i,i+1}&-\sin \alpha _{i,i+1}&0\\0&\sin \alpha _{i,i+1}&\cos \alpha _{i,i

    Forward kinematics

    Forward kinematics

    Forward_kinematics

  • Autoregressive integrated moving average
  • Statistical model used in time series analysis

    − ∑ i = 1 p ′ α i L i ) X t = ( 1 + ∑ i = 1 q θ i L i ) ε t {\displaystyle \left(1-\sum _{i=1}^{p'}\alpha _{i}L^{i}\right)X_{t}=\left(1+\sum _{i=1}^{q}\theta

    Autoregressive integrated moving average

    Autoregressive_integrated_moving_average

  • Functional derivative
  • Concept in calculus of variations

    r_{\alpha _{1}}\partial r_{\alpha _{2}}\cdots \partial r_{\alpha _{i}}}}\qquad \qquad {\text{where}}\quad \alpha _{1},\alpha _{2},\dots ,\alpha _{i}=1

    Functional derivative

    Functional_derivative

  • Variance inflation factor
  • Statistical measure in mathematical model

    α ^ i {\displaystyle {\hat {\alpha }}_{i}} with the following formula : V I F i = 1 1 − R i 2 {\displaystyle \mathrm {VIF} _{i}={\frac {1}{1-R_{i}^{2}}}}

    Variance inflation factor

    Variance_inflation_factor

  • Step function
  • Linear combination of indicator functions of real intervals

    [citation needed] f ( x ) = ∑ i = 0 n α i χ A i ( x ) {\displaystyle f(x)=\sum \limits _{i=0}^{n}\alpha _{i}\chi _{A_{i}}(x)} , for all real numbers x

    Step function

    Step function

    Step_function

  • Representer theorem
  • Statistical learning theory

    = ∑ i = 1 n α i k ( ⋅ , x i ) , {\displaystyle f^{*}(\cdot )=\sum _{i=1}^{n}\alpha _{i}k(\cdot ,x_{i}),} where α i ∈ R {\displaystyle \alpha _{i}\in \mathbb

    Representer theorem

    Representer_theorem

  • QR code
  • Type of two-dimensional barcode

    {\displaystyle g(x)=x^{7}+\alpha ^{87}x^{6}+\alpha ^{229}x^{5}+\alpha ^{146}x^{4}+\alpha ^{149}x^{3}+\alpha ^{238}x^{2}+\alpha ^{102}x+\alpha ^{21}} . This is obtained

    QR code

    QR code

    QR_code

  • Moore matrix
  • Concept in mathematics

    M={\begin{bmatrix}\alpha _{1}&\alpha _{1}^{q}&\dots &\alpha _{1}^{q^{n-1}}\\\alpha _{2}&\alpha _{2}^{q}&\dots &\alpha _{2}^{q^{n-1}}\\\alpha _{3}&\alpha _{3}^{q}&\dots

    Moore matrix

    Moore_matrix

  • Dirac equation
  • Relativistic quantum mechanical wave equation

    satisfy α i 2 = 1 {\displaystyle \alpha _{i}^{2}=1} and α i α j + α j α i = 0 {\displaystyle \alpha _{i}\alpha _{j}+\alpha _{j}\alpha _{i}=0} if i ≠ j {\displaystyle

    Dirac equation

    Dirac_equation

  • Powell's method
  • Algorithm for finding a local minimum of a function

    1 , x 0 + ∑ i = 1 2 α i s i , … , x 0 + ∑ i = 1 N α i s i } {\textstyle \{x_{0}+\alpha _{1}s_{1},{x}_{0}+\sum _{i=1}^{2}\alpha _{i}{s}_{i},\dots ,{x}_{0}+\sum

    Powell's method

    Powell's_method

  • Autoregressive conditional heteroskedasticity
  • Time series model

    _{i=1}^{q}\alpha _{i}\epsilon _{t-i}^{2}} , where   α 0 > 0   {\displaystyle ~\alpha _{0}>0~} and α i ≥ 0 ,   i > 0 {\displaystyle \alpha _{i}\geq 0,~i>0}

    Autoregressive conditional heteroskedasticity

    Autoregressive_conditional_heteroskedasticity

  • Dirichlet-multinomial distribution
  • Distributions in probability theory

    {\displaystyle \alpha _{0}=\sum \alpha _{k}} and let p i = α i ∑ α k = α i α 0 {\displaystyle p_{i}={\frac {\alpha _{i}}{\sum \alpha _{k}}}={\frac {\alpha _{i}}{\alpha

    Dirichlet-multinomial distribution

    Dirichlet-multinomial_distribution

  • Hodge star operator
  • Exterior algebraic map taking tensors from p forms to n-p forms

    α i 1 , … , i k d x i 1 ∧ ⋯ ∧ d x i k   =   ∑ i 1 < ⋯ < i k α i 1 , … , i k d x i 1 ∧ ⋯ ∧ d x i k . {\displaystyle \alpha \ =\ {\frac {1}{k!}}\alpha _{i_{1}

    Hodge star operator

    Hodge_star_operator

  • Dirichlet negative multinomial distribution
  • Probability multivariate distribution

    (x_{\bullet },\alpha _{\bullet })}{\mathrm {B} (x_{0},\alpha _{0})}}\prod _{i=1}^{m}{\frac {\Gamma (x_{i}+\alpha _{i})}{x_{i}!\Gamma (\alpha _{i})}}.} To obtain

    Dirichlet negative multinomial distribution

    Dirichlet_negative_multinomial_distribution

  • Alpha
  • First letter of the Greek alphabet

    Alpha /ˈælfə/ ALF-ə (uppercase Α, lowercase α) is the first letter of the Greek alphabet. In the system of Greek numerals, it has a value of one. Alpha

    Alpha

    Alpha

  • B-spline
  • Spline function

    i − 1 t i + k − t i B i , k − 1 on [ t r , t s ] , {\displaystyle {\frac {d}{dx}}\sum _{i}\alpha _{i}B_{i,k}=\sum _{i=r-k+2}^{s-1}k{\frac {\alpha _{i}-\alpha

    B-spline

    B-spline

    B-spline

  • Schmidt decomposition
  • Process in linear algebra

    that w = ∑ i = 1 m α i u i ⊗ v i {\textstyle w=\sum _{i=1}^{m}\alpha _{i}u_{i}\otimes v_{i}} , where the scalars α i {\displaystyle \alpha _{i}} are real

    Schmidt decomposition

    Schmidt_decomposition

  • Degrees of freedom (physics and chemistry)
  • Independent parameter describing the state of a physical system

    E_{i}\rangle =\int dX_{i}\,\alpha _{i}X_{i}^{2}\,p_{i}(X_{i})={\frac {\displaystyle \int dX_{i}\,\alpha _{i}X_{i}^{2}\,e^{-{\frac {\alpha _{i}X_{i

    Degrees of freedom (physics and chemistry)

    Degrees_of_freedom_(physics_and_chemistry)

  • Characteristic polynomial
  • Polynomial whose roots are the eigenvalues of a matrix

    = ∑ i α i t i . {\textstyle f(t)=\sum _{i}\alpha _{i}t^{i}.} Then f ( A ) = ∑ α i ( S − 1 U S ) i = ∑ α i S − 1 U S S − 1 U S ⋯ S − 1 U S = ∑ α i S −

    Characteristic polynomial

    Characteristic_polynomial

  • Hadamard's lemma
  • Theorem

    _{i=1}^{n}x_{i}g_{i}(x)&&\\&=\sum _{i=1}^{n}\left[x_{i}\left(g_{i}(x)-\alpha _{i}\right)\right]+\sum _{i=1}^{n-1}\left[x_{i}\alpha _{i}\right]&&\quad

    Hadamard's lemma

    Hadamard's_lemma

  • Conditional logistic regression
  • Statistical technique

    i ℓ = 1 | X i ℓ ) = exp ⁡ ( α i + β ⊤ X i ℓ ) 1 + exp ⁡ ( α i + β ⊤ X i ℓ ) {\displaystyle \mathbb {P} (Y_{i\ell }=1|X_{i\ell })={\frac {\exp(\alpha _{i}+{\boldsymbol

    Conditional logistic regression

    Conditional_logistic_regression

  • Gamma distribution
  • Probability distribution

    i = 0 α − 1 ( β x ) i i ! e − β x = e − β x ∑ i = α ∞ ( β x ) i i ! . {\displaystyle {\begin{aligned}F(x;\alpha ,\beta )&=1-\sum _{i=0}^{\alpha -1}{\frac

    Gamma distribution

    Gamma distribution

    Gamma_distribution

  • Two-way analysis of variance
  • Statistical test

    combination of the explanatory variables: μ i j = μ + α i + β j + γ i j {\displaystyle \mu _{ij}=\mu +\alpha _{i}+\beta _{j}+\gamma _{ij}} , Where: μ {\displaystyle

    Two-way analysis of variance

    Two-way_analysis_of_variance

  • Musical isomorphism
  • Isomorphism between the tangent and cotangent bundles of a manifold

    covector α = α i e i {\displaystyle \alpha =\alpha _{i}e^{i}} with the inverse of g {\displaystyle g} gives a vector with components α i = g i j α j . {\displaystyle

    Musical isomorphism

    Musical_isomorphism

  • Baum–Welch algorithm
  • Algorithm in mathematics

    i {\displaystyle i} at time t {\displaystyle t} . This is found recursively: α i ( 1 ) = π i b i ( y 1 ) , {\displaystyle \alpha _{i}(1)=\pi _{i}b_{i}(y_{1})

    Baum–Welch algorithm

    Baum–Welch_algorithm

  • Quantum group
  • Algebraic construct of interest in theoretical physics

    _{i})}e_{i}\\k_{\lambda }f_{i}k_{\lambda }^{-1}&=q^{-(\lambda ,\alpha _{i})}f_{i}\\\left[e_{i},f_{j}\right]&=\delta _{ij}{\frac {k_{i}-k_{i}^{-1}}{q_{i}-q_{i

    Quantum group

    Quantum group

    Quantum_group

  • Mahler measure
  • Measure of polynomial height

    | ∏ | α i | ≥ 1 | α i | = | a | ∏ i = 1 n max { 1 , | α i | } , {\displaystyle M(p)=|a|\prod _{|\alpha _{i}|\geq 1}|\alpha _{i}|=|a|\prod _{i=1}^{n}\max\{1

    Mahler measure

    Mahler_measure

  • Finite difference method
  • Class of numerical techniques

    S ] , α i > 0 , α C = ∑ i ∈ { N , E , S , W } α i . {\displaystyle {\begin{bmatrix}&\alpha _{N}\\\alpha _{W}&-\alpha _{C}&\alpha _{E}\\&\alpha _{S}\end{bmatrix}}\

    Finite difference method

    Finite_difference_method

  • Serre's theorem on a semisimple Lie algebra
  • = − ⟨ α i , α j ⟩ f j , {\displaystyle [h_{i},e_{j}]=\langle \alpha _{i},\alpha _{j}\rangle e_{j},\,[h_{i},f_{j}]=-\langle \alpha _{i},\alpha _{j}\rangle

    Serre's theorem on a semisimple Lie algebra

    Serre's_theorem_on_a_semisimple_Lie_algebra

  • Calutron
  • Mass spectrometer

    November 1943. A second Alpha I racetrack became operational in January 1944. The first Beta racetrack and the third and first Alpha racetracks, now repaired

    Calutron

    Calutron

    Calutron

  • Trace class
  • Compact operator for which a finite trace can be defined

    u i ) i {\displaystyle (u_{i})_{i}} and ( v i ) i {\displaystyle (v_{i})_{i}} and a sequence ( α i ) i {\displaystyle \left(\alpha _{i}\right)_{i}} of

    Trace class

    Trace_class

  • Algebraic number
  • Type of complex number

    {Q} (\alpha )} can be written as a sum ∑ i = 1 k a i q i {\displaystyle \textstyle \sum _{i=1}^{k}a_{i}q_{i}} for some rational coefficients { q i } {\displaystyle

    Algebraic number

    Algebraic number

    Algebraic_number

  • Samuelson condition
  • Concept in public economics

    method: L = ∑ i α i u i ( x i , y ) + λ ( w − z − ∑ i = 1 I x i ) + μ ( g ( z ) − y ) {\displaystyle L=\sum _{i}\alpha ^{i}u^{i}(x^{i},y)+\lambda \left(w-z-\sum

    Samuelson condition

    Samuelson condition

    Samuelson_condition

  • Fermi–Dirac statistics
  • Statistical description for the behavior of fermions

    = ∏ i w ( n i , g i ) = ∏ i g i ! n i ! ( g i − n i ) ! . {\displaystyle W=\prod _{i}w(n_{i},g_{i})=\prod _{i}{\frac {g_{i}!}{n_{i}!(g_{i}-n_{i})!}}

    Fermi–Dirac statistics

    Fermi–Dirac statistics

    Fermi–Dirac_statistics

  • Diagonalizable matrix
  • Matrices similar to diagonal matrices

    following: A α i = λ i α i ( i = 1 , 2 , … , n ) . {\displaystyle A{\boldsymbol {\alpha }}_{i}=\lambda _{i}{\boldsymbol {\alpha }}_{i}\qquad (i=1,2,\dots

    Diagonalizable matrix

    Diagonalizable_matrix

  • Inverted sugar syrup
  • Edible mixture of glucose and fructose, obtained from sucrose hydrolysis

    i ) [ α ] i = ∑ i = 1 N χ i [ α ] i {\displaystyle \displaystyle \alpha ={\frac {\sum _{i=1}^{N}C_{i}[\alpha ]_{i}}{\sum _{i=1}^{N}C_{i}}}=\sum _{i=1}^{N}\left({\frac

    Inverted sugar syrup

    Inverted sugar syrup

    Inverted_sugar_syrup

  • Stable distribution
  • Distribution of variables which satisfies a stability property under linear combinations

    exp ⁡ ( i t μ − | c t | α ( 1 − i β sgn ⁡ ( t ) Φ ) ) {\displaystyle \varphi (t;\alpha ,\beta ,c,\mu )=\exp \left(it\mu -|ct|^{\alpha }\left(1-i\beta \operatorname

    Stable distribution

    Stable distribution

    Stable_distribution

  • Matrix product state
  • Quantum state of multiple particles represented as complex matrices

    })_{\alpha _{i},(\alpha _{i-1}s_{i})}U_{(\alpha _{i-1}s_{i}),\alpha _{j}}=\sum _{\alpha _{i-1}s_{i}}(A^{s_{i}\dagger })_{\alpha _{i},\alpha _{i-1}}A_{\alpha

    Matrix product state

    Matrix product state

    Matrix_product_state

  • Multi-index notation
  • Mathematical notation

    \alpha \pm \beta =(\alpha _{1}\pm \beta _{1},\,\alpha _{2}\pm \beta _{2},\ldots ,\,\alpha _{n}\pm \beta _{n})} Partial order α ≤ β ⇔ α i ≤ β ii

    Multi-index notation

    Multi-index_notation

  • Kac–Moody algebra
  • Lie algebra, usually infinite-dimensional

    C} , i.e. a triple ( h , { α i } i = 1 n , { α i ∨ } i = 1 n , {\displaystyle ({\mathfrak {h}},\{\alpha _{i}\}_{i=1}^{n},\{\alpha _{i}^{\vee }\}_{i=1}^{n}

    Kac–Moody algebra

    Kac–Moody_algebra

  • Conical combination
  • = { ∑ i = 1 k α i x i : x i ∈ S , α i ∈ R ≥ 0 , k ∈ N } . {\displaystyle \operatorname {coni} (S)=\left\{\sum _{i=1}^{k}\alpha _{i}x_{i}:x_{i}\in S,\

    Conical combination

    Conical_combination

  • Arellano–Bond estimator
  • Generalized method of moments estimator in econometrics

    i t = X i t β + α i + u i t {\displaystyle y_{it}=X_{it}\mathbf {\beta } +\alpha _{i}+u_{it}} for t = 1 , … , T {\displaystyle t=1,\ldots ,T} and i =

    Arellano–Bond estimator

    Arellano–Bond_estimator

  • Conjugate gradient method
  • Mathematical optimization algorithm

    basis: x ∗ = ∑ i = 1 n α i p i ⇒ A x ∗ = ∑ i = 1 n α i A p i . {\displaystyle \mathbf {x} _{*}=\sum _{i=1}^{n}\alpha _{i}\mathbf {p} _{i}\Rightarrow \mathbf

    Conjugate gradient method

    Conjugate gradient method

    Conjugate_gradient_method

  • Semisimple Lie algebra
  • Direct sum of simple Lie algebras

    {\displaystyle [e_{\alpha },f_{\alpha }]=h_{\alpha },[h_{\alpha },e_{\alpha }]=2e_{\alpha },[h_{\alpha },f_{\alpha }]=-2f_{\alpha }} ; i.e., the h α , e α

    Semisimple Lie algebra

    Semisimple Lie algebra

    Semisimple_Lie_algebra

  • E8 (mathematics)
  • 248-dimensional exceptional simple Lie group

    given by A i j = 2 ( α i , α j ) ( α i , α i ) {\displaystyle A_{ij}=2{\frac {\left(\alpha _{i},\alpha _{j}\right)}{\left(\alpha _{i},\alpha _{i}\right)}}}

    E8 (mathematics)

    E8 (mathematics)

    E8_(mathematics)

  • Pólya urn model
  • Random model in mathematics

    X_{n}=x_{n})&={\frac {\prod _{i=1}^{k}\left(\alpha +i-1\right)\times \prod _{i=1}^{n-k}\left(\gamma +i-1\right)}{\prod _{i=1}^{n}\left(\gamma +\alpha +i-1\right)}}\\&={\frac

    Pólya urn model

    Pólya_urn_model

  • Ward's method
  • Criterion applied in hierarchical cluster analysis

    d_{(ij)k}=\alpha _{i}d_{ik}+\alpha _{j}d_{jk}+\beta d_{ij}+\gamma |d_{ik}-d_{jk}|,} where α i , α j , β , {\displaystyle \alpha _{i},\alpha _{j},\beta

    Ward's method

    Ward's_method

  • Modern portfolio theory
  • Mathematical framework for investment risk

    1 + ( 1 − α ) P 2 {\displaystyle P_{target}=\alpha P_{1}+(1-\alpha )P_{2}} where α {\displaystyle \alpha } is the weighting factor. Because the underlying

    Modern portfolio theory

    Modern portfolio theory

    Modern_portfolio_theory

  • Bessel function
  • Family of solutions to related differential equations

    {J_{-\alpha }(x)-e^{-\alpha \pi i}J_{\alpha }(x)}{i\sin \alpha \pi }},\\[5pt]H_{\alpha }^{(2)}(x)&={\frac {J_{-\alpha }(x)-e^{\alpha \pi i}J_{\alpha }(x)}{-i\sin

    Bessel function

    Bessel function

    Bessel_function

  • Geometric algebra
  • Algebraic structure designed for geometry

    exactly ⁠ { α 0 + i α 1 + j α 2 + k α 3 ∣ α i ∈ R } {\displaystyle \{\alpha _{0}+i\alpha _{1}+j\alpha _{2}+k\alpha _{3}\mid \alpha _{i}\in \mathbb {R} \}}

    Geometric algebra

    Geometric_algebra

  • Beta distribution
  • Probability distribution

    β ) = I x ( α , β ) {\displaystyle F(x;\alpha ,\beta )={\frac {\mathrm {B} {}(x;\alpha ,\beta )}{\mathrm {B} {}(\alpha ,\beta )}}=I_{x}(\alpha ,\beta

    Beta distribution

    Beta distribution

    Beta_distribution

  • Affine hull
  • Smallest affine subspace that contains a subset

    i = 1 k α i x i | k > 0 , x i ∈ S , α i ∈ R , ∑ i = 1 k α i = 1 } . {\displaystyle \operatorname {aff} (S)=\left\{\sum _{i=1}^{k}\alpha _{i}x_{i}\,{\Bigg

    Affine hull

    Affine_hull

  • Single-crossing condition
  • Condition in monotone comparative statics

    and α i ′ > α i {\displaystyle \alpha ^{i'}>\alpha ^{i}} or if q < q ′ {\displaystyle q<q'} and α i ′ < α i {\displaystyle \alpha ^{i'}<\alpha ^{i}} , then

    Single-crossing condition

    Single-crossing condition

    Single-crossing_condition

  • Body Harvest
  • 1998 action-adventure video game

    the initial invaders he is wounded in the process. He is ready to board Alpha I, the time traveling vehicle developed at Station Omega, when more aliens

    Body Harvest

    Body_Harvest

  • Hindley–Milner type system
  • Type system used in computer programming and mathematics

    \alpha } , meaning that they are true for all possible α {\displaystyle \alpha } : c o n s : ∀ α . α → L i s t   α → L i s t   α n i l : ∀ α . L i s

    Hindley–Milner type system

    Hindley–Milner_type_system

  • Pokhozhaev's identity
  • : α i α j + α j α i = 2 δ i j I N , β 2 = I N , α i β + β α i = 0 , 1 ≤ i , j ≤ n . {\displaystyle \alpha ^{i}\alpha ^{j}+\alpha ^{j}\alpha ^{i}=2\delta

    Pokhozhaev's identity

    Pokhozhaev's_identity

  • Direct sum of modules
  • Operation in abstract algebra

    {\displaystyle (\alpha _{i})} where α i ∈ M i {\displaystyle \alpha _{i}\in M_{i}} and α i = 0 {\displaystyle \alpha _{i}=0} for cofinitely many indices i. (The

    Direct sum of modules

    Direct_sum_of_modules

  • Tetradic Palatini action
  • Frame field in general relativity

    α V I = ∂ α V I + ω α I J V J . {\displaystyle {\mathcal {D}}_{\alpha }V_{I}=\partial _{\alpha }V_{I}+{\omega _{\alpha I}}^{J}V_{J}.} Where ω α I J {\displaystyle

    Tetradic Palatini action

    Tetradic_Palatini_action

  • Clausius–Mossotti relation
  • Equation for a material's dielectric constant given its atomic polarizability

    {\varepsilon _{\text{r}}-1}{\varepsilon _{\text{r}}+2}}=\sum _{i}{\frac {N_{i}\alpha _{i}}{3\varepsilon _{0}}}.} In the CGS system of units the Clausius–Mossotti

    Clausius–Mossotti relation

    Clausius–Mossotti_relation

  • Regularized least squares
  • Concept in regression analysis mathematics

    i = 1 n α i K x i ( x ) , f ∈ H {\textstyle f(x)=\sum _{i=1}^{n}\alpha _{i}K_{x_{i}}(x),\,f\in {\mathcal {H}}} , where all α i {\displaystyle \alpha _{i}}

    Regularized least squares

    Regularized_least_squares

  • Super-Poincaré algebra
  • Supersymmetric generalization of the Poincaré algebra

    Q_{\alpha }^{I}]=0} and { Q α I , Q ¯ α ˙ J } = 2 σ α α ˙ μ P μ δ I J {\displaystyle \{Q_{\alpha }^{I},{\bar {Q}}_{\dot {\alpha }}^{J}\}=2\sigma _{\alpha

    Super-Poincaré algebra

    Super-Poincaré_algebra

  • Post correspondence problem
  • Undecidable decision problem introduced by Emil Post

    ( i 1 , … , i K ) ↦ α i 1 … α i K {\displaystyle g:(i_{1},\ldots ,i_{K})\mapsto \alpha _{i_{1}}\ldots \alpha _{i_{K}}} h : ( i 1 , … , i K ) ↦ β i 1 …

    Post correspondence problem

    Post_correspondence_problem

  • Phase-type distribution
  • Probability distribution

    {\boldsymbol {\alpha }}=(\alpha _{1},\alpha _{2},\alpha _{3},\alpha _{4},...,\alpha _{n})} with ∑ i = 1 n α i = 1 {\displaystyle \sum _{i=1}^{n}\alpha _{i}=1} and

    Phase-type distribution

    Phase-type_distribution

  • Left recursion
  • Theory of computer sciences

    A\alpha } where α {\displaystyle \alpha } is a sequence of nonterminals and terminals . For example, the rule E x p r e s s i o n → E x p r e s s i o

    Left recursion

    Left_recursion

  • Tau function (integrable systems)
  • Generating function in integrable systems

    := e ∑ i = 1 ∞ t i α k i + γ k e ∑ i = 1 ∞ t i β k i k = 1 , … , N , {\displaystyle y_{k}({\bf {t}}):=e^{\sum _{i=1}^{\infty }t_{i}\alpha _{k}^{i}}+\gamma

    Tau function (integrable systems)

    Tau_function_(integrable_systems)

  • Feynman parametrization
  • Parametrization used for loop integrals

    {\displaystyle \alpha =s_{1}+...+s_{n},} α i = s i s 1 + ⋯ + s n ;   i = 1 , … , n − 1 , {\displaystyle \alpha _{i}={\frac {s_{i}}{s_{1}+\cdots +s_{n}}};\ i=1,\ldots

    Feynman parametrization

    Feynman_parametrization

  • Least-squares support vector machine
  • w T w + c ∑ i = 1 N ξ i − ∑ i = 1 N α i { y i [ w T ϕ ( x i ) + b ] − 1 + ξ i } − ∑ i = 1 N β i ξ i , {\displaystyle L_{1}(w,b,\xi ,\alpha ,\beta )={\frac

    Least-squares support vector machine

    Least-squares_support_vector_machine

  • Trigonometry of a tetrahedron
  • \cos \alpha _{i,k}\sin \alpha _{k,j}+\cos \lambda \sin \alpha _{i,j}=\cos \alpha _{i,l}\left(\cos \alpha _{i,j}\sin \alpha _{k,j}+\sin \alpha _{i,j}\cos

    Trigonometry of a tetrahedron

    Trigonometry_of_a_tetrahedron

  • Minimal polynomial (field theory)
  • Concept in abstract algebra

    {\displaystyle J_{\alpha }} since 0 α i = 0 {\displaystyle 0\alpha ^{i}=0} for all α {\displaystyle \alpha } and i {\displaystyle i} . This makes the zero

    Minimal polynomial (field theory)

    Minimal_polynomial_(field_theory)

  • Kinematics equations
  • Constraint equations of a mechanical system

    [X_{i}]={\begin{bmatrix}1&0&0&a_{i,i+1}\\0&\cos \alpha _{i,i+1}&-\sin \alpha _{i,i+1}&0\\0&\sin \alpha _{i,i+1}&\cos \alpha _{i,i+1}&0\\0&0&0&1\end{bmatrix}}

    Kinematics equations

    Kinematics_equations

  • Antiresonance
  • Frequencies in coupled oscillators

    {\alpha }}_{2}&=i\Delta _{2}\alpha _{2}-\gamma _{2}(\alpha _{2}-\alpha _{2}^{*}e^{2i\omega t})-ig{\tfrac {\omega _{2}}{\omega _{1}}}(\alpha _{1}+\alpha

    Antiresonance

    Antiresonance

  • Cyclic code
  • Type of block code

    S_{3}=e(\alpha ^{3})} . If say two errors occur, then S 1 = α i + α i ′ {\displaystyle S_{1}=\alpha ^{i}+\alpha ^{i'}} and S 3 = α 3 i + α 3 i ′ {\displaystyle

    Cyclic code

    Cyclic code

    Cyclic_code

  • Cronbach's alpha
  • Statistical measure of reliability

    Cronbach's alpha (Cronbach's α {\displaystyle \alpha } ) or coefficient alpha (coefficient α {\displaystyle \alpha } ), is a reliability coefficient and

    Cronbach's alpha

    Cronbach's_alpha

  • Torque converter
  • Fluid coupling that transfers rotating power from a prime mover to a rotating driven load

    }{\frac {Q}{A}}\tan {\alpha _{\mathrm {t} }}-\omega _{i}R_{i}^{2}-R_{i}{\frac {Q}{A}}\tan {\alpha _{i}})Q+\tau _{\mathrm {t} }} I s ω s ˙ + ρ S s Q ˙ =

    Torque converter

    Torque converter

    Torque_converter

  • Borel hierarchy
  • Mathematical logic hierarchy

    each A i {\displaystyle A_{i}} is in Π α i 0 {\displaystyle \mathbf {\Pi } _{\alpha _{i}}^{0}} for some α i < α {\displaystyle \alpha _{i}<\alpha } and

    Borel hierarchy

    Borel_hierarchy

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  • Surname or Lastname

    Northern Irish, Scottish, and English

    Irwin

    Northern Irish, Scottish, and English : variant of Irvin.English : from the Middle English personal name Irwyn, Erwyn, or Everwyn, Old English Eoforwine, composed of the elements eofor ‘wild boar’ + wine ‘friend’.From the Welsh personal name Urien (see Uren).

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    Alpha | அல்பா 

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    First Letter of the Greek Alphabet; Leader

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  • Donatien
  • Boy/Male

    Italian French

    Donatien

    Present.

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  • Boy/Male

    American, British, English

    Spelding

    From the Split Meadow

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  • Boy/Male

    Hindu

    Amalendu

    The unblemished Moon

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  • Surname or Lastname

    English

    Walding

    English : from an unattested Old English personal name Wealding.English : topographic name from an unattested Old English word, wealding ‘forest dweller’, from weald ‘forest’.

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    Gujarati, Hindu, Indian

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    Open Tresses; Goddess Parvati

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  • Female

    English

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    English form of French Nicole, NICHOLE means "victor of the people." 

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    Gul Rukh |

    Rose-face

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    Goddess Durga

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    Ismah

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    English

    Clarke

    Cleric; secretary.

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  • Idolatrized
  • imp. & p. p.

    of Idolatrize

  • Identified
  • imp. & p. p.

    of Identify

  • Alpha
  • n.

    The first letter in the Greek alphabet, answering to A, and hence used to denote the beginning.

  • Alpia
  • n.

    The seed of canary grass (Phalaris Canariensis), used for feeding cage birds.

  • Idolatrize
  • v. i.

    To worship idols; to pay idolatrous worship.

  • Alpist
  • n.

    Alt. of Alpia

  • Idled
  • imp. & p. p.

    of Idle

  • Lyra
  • n.

    A northern constellation, the Harp, containing a white star of the first magnitude, called Alpha Lyrae, or Vega.

  • Iced
  • imp. & p. p.

    of Ice

  • Omega
  • n.

    The last letter of the Greek alphabet. See Alpha.

  • Identify
  • v. i.

    To become the same; to coalesce in interest, purpose, use, effect, etc.

  • Pentalpha
  • n.

    A five-pointed star, resembling five alphas joined at their bases; -- used as a symbol.

  • Privative
  • a.

    Implying privation or negation; giving a negative force to a word; as, alpha privative; privative particles; -- applied to such prefixes and suffixes as a- (Gr. /), un-, non-, -less.

  • Idealized
  • imp. & p. p.

    of Idealize

  • Idolize
  • v. i.

    To practice idolatry.

  • Idle
  • v. i.

    To lose or spend time in inaction, or without being employed in business.

  • Idolized
  • imp. & p. p.

    of Idolize

  • Itinerated
  • imp. & p. p.

    of Itinerate

  • Idealize
  • v. i.

    To form ideals.